Chapter 7, Problem 12E

A matrix M with i rows, j columns can be transposed into a matrix N having j rows and i columns by simply setting the value of N_a,b equal to the value of M_b,a for all relevant values of a and b.

1. a. Write a function t that takes as an argument a 4 × 5 matrix and a 5 × 4 matrix. Have the function transpose the 4 × 5 matrix and store the results in the 5 × 4 matrix. Also write a m routine to test the function.
2. b. Using variable-length arrays, rewrite the t function developed in exercise 12a to take the number of rows and columns as arguments, and to transpose the matrix of the specified dimensions.